A confining model for charmonium and new gauge-invariant field equations

作者：Hsu Jong Ping^*

来源：European Physical Journal Plus, 2014, 129(6): 108.

DOI：10.1140/epjp/i2014-14108-1

We discuss a confining model for charmonium in which the attractive force are derived from a new type of gauge field equation with a generalized SU3 gauge symmetry. The new gauge transformations involve non-integrable phase factors with vector gauge functions. omega(a)(mu)(x). These transformations reduce to the usual SU3 gauge transformations in the special case. omega(a)(mu)(x) = partial derivative(mu)xi(a) (x). Such a generalized gauge symmetry leads to the fourth-order equations for new gauge fields and to the linear confining potentials. The fourth-order field equation implies that the corresponding massless gauge boson has non-definite energy. However, the new gauge boson is permanently confined in a quark system by the linear potential. We use the empirical potentials of the Cornell group for charmonium to obtain the coupling strength f(2)/(4 pi) approximate to 0.19 for the strong interaction. Such a confining model of quark dynamics could be compatible with perturbation. The model can be applied to other quark-antiquark systems.

• 出版日期2014-6-3